[1] Sermange M, Temam R. Some mathematical questions related to the MHD equations. Commun Pure Appl Math, 1983, 36: 633–664
[2] Leray J. Etude de diverses ´equations int´egrals nonlin´eaires et de quelques probl`emes que pose 1´hydrody-namique. J Math Pures Appl, 1933, 12: 1–82
[3] Leray J. Essai sur le momvement d´un liquide visqueux empissant l´espace. Acta Math, 1934, 63: 193–248
[4] Onsager L. Statistical hydrodynamics. Nuovo Cimento (Supplemento), 1949, 6: 279–287
[5] Eyink G L. Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer. Physica D, 1994, 78: 222–240
[6] Constantin P, Weinan E, Titi E S. Onsager’s conjecture on the energery conservation for solutions of Euler´s equation. Commun Math Phys, 1994, 165: 207–209
[7] Callisch R E, Klapper I, Steel G. Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD. Commun Math Phys, 1997, 184: 443–455
[8] Duchon J, Robert R. Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Nonlinearity, 2000, 13: 249–255
[9] Hu X, Wang D. Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Arch Ration Mech Anal, 2010, 197: 203–238
[10] Lions P L. Mathematical topics in fluid mechanics. Vol 2. Compressible Models [M]. USA: Oxford University
Press, 1998
[11] Lions P L. Mathematical topics in fluid mechanics. Incompressible Models. Vol 1. Oxford: Oxford Science Publication, 1996 |